Proportionate Adaptive Filters From a Basis Pursuit Perspective

被引：39

作者：

Benesty, Jacob ^{[1
]}

Paleologu, Constantin ^{[2
]}

Ciochina, Silviu ^{[2
]}

机构：

[1] Univ Quebec, INRS EMT, Montreal, PQ H5A 1K6, Canada

[2] Univ Politehn Bucuresti, Bucharest, Romania

来源：

IEEE SIGNAL PROCESSING LETTERS | 2010年 / 17卷 / 12期

关键词：

Adaptive filters; APA; basis pursuit; echo cancellation; NLMS; PAPA; PNLMS;

D O I：

10.1109/LSP.2010.2082529

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this letter, we show that the normalized least-mean-square (NLMS) algorithm and the affine projection algorithm (APA) can be decomposed as the sum of two orthogonal vectors. One of these vectors is derived from an l(2)-norm optimization problem while the other one is simply a good initialization vector. By replacing this optimization with the basis pursuit, which is based on the l(2)-norm optimization, we derive the proportionate NLMS (PNLMS) algorithm and the proportionate APA (PAPA). Many other adaptive filters can be derived following this approach, including new ones.

引用

页码：985 / 988

页数：4

共 15 条

[11] On a class of computationally efficient, rapidly converging, generalized NLMS algorithms
Morgan, DR
Kratzer, SG
[J]. IEEE SIGNAL PROCESSING LETTERS, 1996, 3 (08) : 245 - 247
[12] Ozeki K., 1984, Electronics and Communications in Japan, V67, P19
[13] Paleologu C., 2010, Sparse Adaptive Filters for Echo Cancellation
[14] Rao BD, 2003, 2003 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL VI, PROCEEDINGS, P361
[15] A fast convergence algorithm for adaptive FIR filters under computational constraint for adaptive tap-position control
Sugiyama, A
Sato, H
Hirano, A
Ikeda, S
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1996, 43 (09): : 629 - 636

← 1 2 →